Task #3: Angle Bisector

1. [icon]https://www.geogebra.org/images/ggb/toolbar/mode_ray.png[/icon]Use the Ray tool to draw rays AB and AC, creating angle CAB. (Tip: Give yourself room to maneuver by creating an obtuse angle. Place B relatively close to A, and C farther away.)[br][br]2. [icon]https://www.geogebra.org/images/ggb/toolbar/mode_circle2.png[/icon]Use the Circle with Center through Point tool to create a circle with center A through point B.[br][br]3. [icon]https://www.geogebra.org/images/ggb/toolbar/mode_intersect.png[/icon]Use the Intersect tool to mark the intersection of the circle with ray AC as point D.(Tip: Hover over the ray and circle until both are highlighted to make sure you mark the intersection of both.)[br][br]4. [icon]https://www.geogebra.org/images/ggb/toolbar/mode_circle2.png[/icon]Use the Circle with Center through Point tool twice to construct (a) a circle with center B through point A and (b) a circle with center D through point A.[br][br]5. [icon]https://www.geogebra.org/images/ggb/toolbar/mode_intersect.png[/icon]Use the Intersect tool to mark the intersection of the two circles from Step 4 (not A, the other point of intersection) as point E.[br][br]6. [icon]https://www.geogebra.org/images/ggb/toolbar/mode_ray.png[/icon]Use the ray tool to construct ray AE. This is the Angle Bisector![br][br]7. Clean up the window by hiding the circles. This will automatically hide some of the points as well.[br][br]8. [icon]https://www.geogebra.org/images/ggb/toolbar/mode_angle.png[/icon]Use the Angle tool to check your answer by measuring. [b]Be careful[/b]- the order in which you click points is very important! First, Click B, A, E (in that order) to measure angle BAE. Then, Click E, A, D (in that order) to measure angle EAD.[br][br]9. [icon]https://www.geogebra.org/images/ggb/toolbar/mode_move.png[/icon]Use the Move tool to drag point C until both halves of the angle are as close to 50 degrees as you can get them.

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